## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

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Resultat 1-5 av 42

Side 4

vitiated ; for instance , by substituting a shorter , but insufficient Demonstration of

the 18th Prop . of the 5th Book , in place of the legitimate one which Euclid had

given ; and by taking out of this Book , besides other things , the good

vitiated ; for instance , by substituting a shorter , but insufficient Demonstration of

the 18th Prop . of the 5th Book , in place of the legitimate one which Euclid had

given ; and by taking out of this Book , besides other things , the good

**Definition**... Side 5

Now , upon the 10th

Propositions of it ; and upon the 25th and 26th depend other eight , viz . the 27th ,

31st , 320 , 330 , 34th , 36th , 37th , and 40th of the same Book ; and the 12th of

the 12th ...

Now , upon the 10th

**Definition**of this Book depend the 25th and 28thPropositions of it ; and upon the 25th and 26th depend other eight , viz . the 27th ,

31st , 320 , 330 , 34th , 36th , 37th , and 40th of the same Book ; and the 12th of

the 12th ...

Side 6

... the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is

altered , and made more explicit , and a more general Demonstration is given ,

instead of that which was in the Note on the 10th

...

... the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is

altered , and made more explicit , and a more general Demonstration is given ,

instead of that which was in the Note on the 10th

**Definition**of Book 11th ; besides...

Side 13

... point A is the ' centre of the circle BCD , AC is equal ( 15.

and because the point B is the centre of the circle ACE , BC is equal to BA : but it

has been proved that CA is equal to AB ; therefore CA , CB are each of them

equal ...

... point A is the ' centre of the circle BCD , AC is equal ( 15.

**Definition**. ) to AB ;and because the point B is the centre of the circle ACE , BC is equal to BA : but it

has been proved that CA is equal to AB ; therefore CA , CB are each of them

equal ...

Side 65

from the centres of which the straight lines to the circumferences are equal . This

is not a

**DEFINITIONS**. I. EQUAL circles are those of which the diameters are equal , orfrom the centres of which the straight lines to the circumferences are equal . This

is not a

**definition**, but a theorem , the truth of which is evident ; for , if the circles ...### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

added altitude angle ABC angle BAC base BC is given centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole